Let's weigh it!

Classical Mechanics Level 3

A container of mass M M containing a liquid of mass x x is kept on a weighing machine. A ball of mass m m is released from rest inside the liquid. Consider the fluid to be ideal.

What's the reading of the weighing machine just after the ball is released?

Greater than x + M + m , x + M + m, if the density of the ball is not equal to that of the liquid Greater than x + M + m , x + M + m, if the density of the ball is less than that of the liquid Less than x + M + m , x + M + m, if the denisity of the ball is not equal to that of the liquid Equal to x + M + m x +M +m

Ramneek Singh by Ramneek Singh , 41, India

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1 solution

Ramneek Singh
Mar 31, 2018

If density of ball is less than that of liquid then the ball will rise and an equal volume of liquid (having more mass ) will fall , so the centre of mass of the system (ball + beaker + liquid) will fall and hence we conclude that the magnitude of normal force on the system( ball+beaker +liquid) system is less than its weight. Similarly we can conclude for the case when density of ball is more than that of liquid.

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